Basic Mathematics-Geometry (KVPY Stream-SA (Class 11) Math): Questions 47 - 52 of 62

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Question number: 47

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

The angle bisectors BM and CN of a triangle ABC are divided by the in centre I in the ratios 5: 3 and 3: 1 respectively. Then triangle is –

Choices

Choice (4) Response
a.

Isosceles

b.

Equilateral

c.

Scalene

d. All of the above

Question number: 48

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

In a triangle PQR with ∠Q = 90°, M is a point on PR such that QM: QR = 5: 2. If QR=23 and PQ=2 , then MR: MP is –

Choices

Choice (4) Response
a.

1:22

b.

1: 2

c.

2: 1

d.

22:1

Question number: 49

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

Question

The area of a rectangular ABCD is 40. Points E and F are on the side BC, such that area of the trapezoid AEFD becomes 32. Find the ratio of parallel sides of trapezoid AEFD :(ADEF) .

Choices

Choice (4) Response
a.

35

b.

25

c.

23

d.

52

Question number: 50

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

Consider a square PQRS of side 16 and let M, N be the midpoints of PQ, RS respectively. Take a point O on MN and let PO = 7, OR = 11. Then the area of the triangle whose sides are 7, 11, 16 is –

Choices

Choice (4) Response
a.

64

b.

36

c.

77

d.

44

Question number: 51

» Basic Mathematics » Geometry » Circle and Properties

MCQ▾

Question

The lengths of two parallel chords of a circle are 8 cm and 6 cm. If the smaller chord is at distance 4 cm from the centre, then the distance of the other chord from the centre is –

Choices

Choice (4) Response
a.

3

b.

5

c.

4

d.

2

Question number: 52

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

The number of values of a for which there is an isosceles triangle with sides of length a+7 , 2a1 and 5a is –

Choices

Choice (4) Response
a.

1

b.

0

c.

2

d.

3

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